S - Garnet Valley School District

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Name _______________________________________ Date __________________ Class __________________
Practice B
Solving Equations with Variables on Both Sides
Solve each equation. Check your answers.
1. 3d  8  2d  17
________________________
4. t  5  t  19
________________________
7. 2y  3  3(y  7)
________________________
2. 2n  7  5n  10
________________________
5. 15x  10  9x  2
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8. 4n  6  n  2(n  3)
________________________
3. p  15  13  6p
________________________
6. 1.8r  9  5.7r  6
________________________
9. 5(r  1)  2(r  4)  6
________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date __________________ Class __________________
Answer each of the following.
13. Janine has job offers at two companies. One
company offers a starting salary of $28,000 with
a raise of $3000 each year. The other company
offers a starting salary of $36,000 with a raise of
$2000 each year.
a. After how many years would Janine’s salary be
the same with both companies?
b. What would that salary be?
14. Xian and his cousin both collect stamps. Xian has
56 stamps, and his cousin has 80 stamps. Both have
recently joined different stamp-collecting clubs. Xian’s
club will send him 12 new stamps per month, and his
cousin’s club will send him 8 new stamps per month.
a. After how many months will Xian and his cousin
have the same number of stamps?
b. How many stamps will that be?
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
Name _______________________________________ Date __________________ Class __________________
Practice B
Solving Equations with Variables on Both Sides
Solve each equation. Check your answers.
1. 3d  8  2d  17
2. 2n  7  5n  10
d  25
n1
4. t  5  t  19
5. 15x  10  9x  2
t  12
x
7. 2y  3  3(y  7)
p4
6. 1.8r  9  5.7r  6
1
2
8. 4n  6  2n  2(n  3)
y  18
10. v  5  6v  1  5v  3
3. p  15  13  6p
r  2
9. 6m  8  2  9m  1
m  3
all real numbers
11. 2(3b  4)  8b  11
no solution
b
12. 5(r  1)  2(r  4)  6
3
2
r  3
Answer each of the following.
13. Janine has job offers at two companies. One
company offers a starting salary of $28,000 with
a raise of $3000 each year. The other company
offers a starting salary of $36,000 with a raise of
$2000 each year.
a. After how many years would Janine’s salary be
the same with both companies?
b. What would that salary be?
8 years
$52,000
14. Xian and his cousin both collect stamps. Xian has
56 stamps, and his cousin has 80 stamps. Both have
recently joined different stamp-collecting clubs. Xian’s
club will send him 12 new stamps per month, and his
cousin’s club will send him 8 new stamps per month.
a. After how many months will Xian and his cousin
have the same number of stamps?
b. How many stamps will that be?
6 months
128 stamps
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 1
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